A characterization of prime Noetherian P. I. rings and a theorem of Mori-Nagata

Braun, Amiram

doi:10.1090/S0002-9939-1979-0521864-6

A characterization of prime Noetherian P. I. rings and a theorem of Mori-Nagata
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by Amiram Braun

Proc. Amer. Math. Soc. 74 (1979), 9-15

DOI: https://doi.org/10.1090/S0002-9939-1979-0521864-6

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Abstract:

Let R be a noetherian prime p.i. ring, C the center of R and $\bar C$ its normalization. It is proved that R is integral over its center iff $\bar C$ is a Krull domain. We also give a simple proof for the following theorem [7]: The normalization of a commutative noetherian domain is Krull.

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